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### Acceleration

Chapter 2 Section 2

Acceleration

- Acceleration – The quantity that describes the rate of change of velocity in a given time interval.
- Average Acceleration – The average change in velocity divided by the change in time.

Acceleration Units

- The SI units for acceleration “m/s²”
- Acceleration = velocity/time = m/s/s = m/s²

Acceleration Vector

- Acceleration is a vector quantity
- Has both magnitude and direction

- Since acceleration is a vector, it can have a positive or negative value.
- If acceleration and velocity are in the same direction, the object speeds up.
- If the acceleration and velocity are in opposite directions, the object slows downs.

Graphing Linear Motion

- The slope and shape of a single graph can describe the motion of an object’s displacement, velocity, and acceleration vs. time.
- Slope = rise / run
- Rise – Dependant Variable (y-axis)
- Run – Independent Variable (x-axis)

- Slope = rise / run

Relating Displacement, Velocity and Acceleration

- On a Displacement vs. Time graph
- Rise / Run = Slope
- Displacement / Time = Velocity
- The tangent line of a single point on a (d vs. t) graph is equal to the instantaneous velocity at that moment in time.

- On a Velocity vs. Time graph
- Velocity / Time = Acceleration
- The tangent line of a single point on a (v vs. t) graph is equal to the instantaneous acceleration at that moment in time.

- Velocity / Time = Acceleration

Graphing Hints

d vs. t

V vs. t

a vs. t

Area

Slope

Slope

Area

d vs. t

Slope = Velocity

V vs. t

Slope = Acceleration

a vs. t

Area = Velocity

V vs. t

Area = Displacement

=>

=>

=>

Graph of a Single Object In Motion

displacement

vs.

time

velocity

vs.

time

acceleration

vs.

time

d

v

a

t

t

t

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